Semilattice Congruences on E-inversive Semigroups

Manoj Siripitukdet, Supavinee Sattayaporn

Abstract


A congruence ρ on a semigroup S is a semilattice congruence on S if S/ρ is asemilattice. A semigroup S is called an E-inversive semigroup if for every a∈S there is anelement x in S such that ax is idempotent. In this paper, we investigated a semilatticecongruence and an inverse congruence on E-inversive semigroups.

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